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3 years ago

How are discontinuities and zeros determined in a rational function

Mathematics

1 answer:

melomori [17]3 years ago

7 0

Hello,

Let's f(x)=n(x)/d(x)

Discontinuities are found as zeros of d(x)
Zeros are zeros of n(x)

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Identify this conic section. 9x 2 + 4y 2 = 36

oksano4ka [1.4K]

Divide: 9x 2/36 - 4y 2/36 = 36/36. Simplify: x2/4 - y2/9 = 1. Then do (x-0) 2/4 - (y-0)2 =1. Hyperbola.

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3 years ago

Christine buys 7 hamburgers and 3 sodas for $27.95. Laura buys 5 hamburgers and 4 sodas for $23.40. How much does a hamburger co

Naddika [18.5K]

7h+3s=27.95 subtract 7h from both sides

3s=27.95-7h divide both sides by 3

s=(27.95-7h)/3

Then we are told:

5h+4s=23.4, using s found above makes this equation become:

5h+4(27.95-7h)/3=23.4 multiply both sides by 3

15h+4(27.95-7h=70.2 perform indicated multiplication on left side

15h+111.8-28h=70.2 combine like terms on left side

-13h+111.8=70.2 subtract 111.8 from both sides

-13h=-41.6 divide both sides by -13

h=$3.20

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3 years ago

To show what he learned about the properties of volume for solids, liquids and gases, Viktor wrote the following summary.

Brrunno [24]

The wrong statement in Viktor's summary is When a round solid ball is placed in a box, the ball takes the shape of the box

The matter has three main states which are

Solid
Liquid
Gas

These states define the way we interact and manipulate materials. For instance:

Liquids take the shape of the container that contains them. For example water, milk, soda, among others.

Solids have a defined shape and do not deform when manipulated or placed inside another container. For example, a round solid ball.

Gases generally do not have colors and their atoms are not organized so they do not have a definite shape and take the shape of their container. For example, the air in a balloon.

According to the above, the error in Viktor's summary is in the first phase, and the correct statement is A. because solids does not take the shape of its container.

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3 years ago

A student's course grade is based on one midterm that counts as 15% of his final grade, one class project that counts as 15% of

kow [346]

Answer:

Overall final score = 77.75% ; Grade = C.

Step-by-step explanation:

The approach to solve this question is to realize that the marks have to be converted into the respective percentages of the whole course. This means that the marks of all the components have to be normalized according to the grading breakdown.

Project Marks = 97/100. Weightage = 15%. So 97*15/100 = 14.55/15.

This means that the student received 14.55 marks in the project out of 15.

Similarly for other components:

Mid-Term Marks = 83/100. Weightage = 15%. So 83*15/100 = 12.45/15.

Homework Marks = 82/100. Weightage = 35%. So 82*35/100 = 28.7/35.

Finals Marks = 63/100. Weightage = 35%. So 63*35/100 = 22.05/35.

After the conversion process, add up the normalized marks, which are now acting as the percentages earned in all the components.

Aggregate Percentage = 14.55 + 12.45 + 28.7 + 22.05 = 77.75%.

According to the grade scale, the student receives a C because 70 is less than 77.75 and 77.75 is less than 80.

Summarizing, the student receives a C at 77.75%!!!

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3 years ago

6 is 15% of what number? * 70 40 45 50

sveta [45]

Answer:40

Step-by-step explanation:

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3 years ago